3 Bhavik left his home at 12 00 to cycle to Sam’s house.
On the way Bhavik stopped for a rest, and then continued his journey.
The distance-time graph shows his journey.
(a) (i) For how many minutes did Bhavik stop for a rest?
(a) Describe fully the single transformation that maps shape P onto shape Q.
12 A, B and C are three sets.
A ∩ B = Ø and C ⊂ A
(a) Complete the Venn diagram to show the sets B and C
A, B, C and D are four points on a circle, centre O.
AD is a diameter of the circle.
Angle BAD = 58°
(a) Calculate the size of angle ADB.
A, B, C and D are four points on a circle.
ABX and DCX are straight lines.
AB = 7 cm, BX = 5 cm and CX = 6 cm.
Angle BXC = 28°
(a) Calculate the length of AC.
Give your answer correct to 3 significant figures.
17 The histogram shows information about the times, t minutes, patients spent at a doctors’
surgery on one day.
No patient spent more than 40 minutes at the surgery
(a) Calculate the percentage of the patients who spent between 25 and 40 minutes at the
18 Bill and Jo play some games of table tennis.
The probability that Bill wins the first game is 0.7
When Bill wins a game, the probability that he wins the next game is 0.8
When Jo wins a game, the probability that she wins the next game is 0.5
The first person to win two games wins the match.
(a) Complete the probability tree diagram.